2023164864 has 280 divisors, whose sum is σ = 6923755520. Its totient is φ = 572189184.

The previous prime is 2023164853. The next prime is 2023164887. The reversal of 2023164864 is 4684613202.

2023164864 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 648 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4608357 + ... + 4608795.

Almost surely, 2^2023164864 is an apocalyptic number.

2023164864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461877760).

2023164864 is an abundant number, since it is smaller than the sum of its proper divisors (4900590656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023164864 is a wasteful number, since it uses less digits than its factorization.

2023164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2023164864 is about 44979.6049782565. The cubic root of 2023164864 is about 1264.7667062374.

The spelling of 2023164864 in words is "two billion, twenty-three million, one hundred sixty-four thousand, eight hundred sixty-four".